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Sep 23, 2013
09/13

by
Olivier Allix; Pierre Kerfriden; Pierre Gosselet

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In this article, we present numerical enhancements of a multiscale domain decomposition strategy based on a LaTIn solver and dedicated to the computation of the debounding in laminates. We show that the classical scale separation is irrelevant in the process zones, which results in a drop in the convergence rate of the strategy. The scalability is restored by performing nonlinear subresolutions in the vincinity of the front of the crack, at each prediction stage of the iterative solver.

Source: http://arxiv.org/abs/1109.4799v1

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47

Sep 23, 2013
09/13

by
Pierre Kerfriden; Olivier Allix; Pierre Gosselet

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The prediction of the quasi-static response of industrial laminate structures requires to use fine descriptions of the material, especially when debonding is involved. Even when modeled at the mesoscale, the computation of these structures results in very large numerical problems. In this paper, the exact mesoscale solution is sought using parallel iterative solvers. The LaTIn-based mixed domain decomposition method makes it very easy to handle the complex description of the structure; moreover...

Source: http://arxiv.org/abs/1109.6111v1

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4.0

Jun 29, 2018
06/18

by
Guillaume Guguin; Olivier Allix; Pierre Gosselet; Stéphane Guinard

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Most large engineering structures are described as assemblies of plates and shells and they are computed as such using adhoc Finite Element packages. In fact their computation in 3D would be much too costly. In this framework, the connections between the parts are often modeled by means of simplified tying models. In order to improve the reliability of such simulations, we propose to apply a non-intrusive technique so as to virtually substitute the simplified connectors by a precise 3D...

Topics: Numerical Analysis, Mathematics

Source: http://arxiv.org/abs/1608.07239

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14

Jun 26, 2018
06/18

by
Guillaume Guguin; Olivier Allix; Pierre Gosselet; Stéphane Guinard

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In order to simulate the mechanical behavior of large structures assembled from thin composite panels, we propose a coupling technique which substitutes local 3D models for the global plate model in the critical zones where plate modeling is inadequate. The transition from 3D to 2D is based on stress and displacement distributions associated with Saint-Venant problems which are precalculated automatically for a simple 3D cell. The hybrid plate/3D model is obtained after convergence of a series...

Topics: Numerical Analysis, Mathematics

Source: http://arxiv.org/abs/1501.01933

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86

Jul 20, 2013
07/13

by
Olivier Allix; Pierre Gosselet; Pierre Kerfriden; Karin Saavedra

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This paper deals with the parallel simulation of delamination problems at the meso-scale by means of multi-scale methods, the aim being the Virtual Delamination Testing of Composite parts. In the non-linear context, Domain Decomposition Methods are mainly used as a solver for the tangent problem to be solved at each iteration of a Newton-Raphson algorithm. In case of strongly nonlinear and heterogeneous problems, this procedure may lead to severe difficulties. The paper focuses on methods to...

Source: http://arxiv.org/abs/1304.6996v1

Topic: Council of Nicaea 787)

Running title: An examination of scruples about the oath of allegiance

Topic: William III, King of England, 1650-1702

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Sep 23, 2013
09/13

by
Olivier Allix; Pierre Kerfriden; Pierre Gosselet

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In quasi-static nonlinear time-dependent analysis, the choice of the time discretization is a complex issue. The most basic strategy consists in determining a value of the load increment that ensures the convergence of the solution with respect to time on the base of preliminary simulations. In more advanced applications, the load increments can be controlled for instance by prescribing the number of iterations of the nonlinear resolution procedure, or by using an arc-length algorithm. These...

Source: http://arxiv.org/abs/1109.5913v1

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615

Apr 18, 2014
04/14

by
Allix, Pierre, 1641-1717

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Topics: Waldenses, Albigenses

From the library of Samuel Miller

Topics: Waldenses, Church history, Puritans

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Topic: Waldenses -- Doctrines

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Sep 23, 2013
09/13

by
Olivier Allix; Pierre Gosselet; Pierre Kerfriden

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This paper presents a three-scale computational strategy for the study of composite modeled at the mesoscale so that delamination can be reliably simulated. The solver is based on a LaTIn approach so that nonlinearities can be tackled at the local scale. We show how search directions which are parameters of the method need to be updated according to the delamination status of interfaces. We also present the parallelization of the macro problem which transmits long-range phenomena and warranty...

Source: http://arxiv.org/abs/1109.6113v1

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Topic: Albigenses

From the library of Samuel Miller

Topics: Albigenses, Puritans